Search a number
-
+
1000121201010 = 232537300336697
BaseRepresentation
bin11101000110110111101…
…11100111000101110010
310112121111011111002000100
432203123313213011302
5112341222011413020
62043241020133230
7132153635641521
oct16433367470562
93477434432010
101000121201010
11356170388018
121419b6697216
1373407423309
14365985964b8
151b037207a90
hexe8dbde7172

1000121201010 has 48 divisors (see below), whose sum is σ = 2670593918616. Its totient is φ = 259490905344.

The previous prime is 1000121200997. The next prime is 1000121201041. The reversal of 1000121201010 is 101021210001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 710917099281 + 289204101729 = 843159^2 + 537777^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000121200983 and 1000121201001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150165019 + ... + 150171678.

Almost surely, 21000121201010 is an apocalyptic number.

1000121201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000121201010 is an abundant number, since it is smaller than the sum of its proper divisors (1670472717606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000121201010 is a wasteful number, since it uses less digits than its factorization.

1000121201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300336747 (or 300336744 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000121201010 its reverse (101021210001), we get a palindrome (1101142411011).

The spelling of 1000121201010 in words is "one trillion, one hundred twenty-one million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 300336697 600673394 901010091 1501683485 1802020182 2703030273 3003366970 4505050455 5406060546 9010100910 11112457789 13515151365 22224915578 27030302730 33337373367 55562288945 66674746734 100012120101 111124577890 166686866835 200024240202 333373733670 500060600505 1000121201010